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Bulletin of the American Mathematical Society

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Zeros of successive derivatives of entire functions


Authors: R. P. Boas Jr. and A. R. Reddy
Journal: Bull. Amer. Math. Soc. 79 (1973), 64-65
MSC (1970): Primary 30A64, 30A66; Secondary 30A08
DOI: https://doi.org/10.1090/S0002-9904-1973-13093-9
MathSciNet review: 0310246
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References [Enhancements On Off] (What's this?)

  • 1. M. Ålander, Sur le déplacement des zéros des fonctions entières par leur dérivation, Uppsala Thesis, 1914.
  • 2. J. D. Buckholtz and J. L. Frank, Whittaker constants, Proc. London Math. Soc. (3) 23 (1971), 348-370. MR 296297
  • 3. P. Erdös and A. Rényi, On the number of zeros of successive derivatives of analytic functions, Acta Math. Acad. Sci. Hungar. 7 (1956), 125-144. MR 18, 201. MR 80155
  • 4. G. Pólya, On the zeros of the derivatives of a function and its analytic character, Bull. Amer. Math. Soc. 49 (1943), 178-191. MR 4, 192. MR 7781
  • 5. S. Takenaka, On the expansion of integral transcendental functions in generalized Taylor's series, Proc. Physico-Math. Soc. Japan 14 (1932), 529-542.

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DOI: https://doi.org/10.1090/S0002-9904-1973-13093-9

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